No-Free-Lunch equivalences for exponential Levy models

Details No-Free-Lunch equivalences for exponential Levy models No-Free-Lunch equivalences for exponential Levy models

2008-03-14

arxiv.org/abs/0803.2169v1

Economy

Quantitative Finance

Pricing of Securities

29 pages

Scientific paper

We provide equivalence of numerous no-free-lunch type conditions for financial markets where the asset prices are modeled as exponential Levy processes, under possible convex constraints in the use of investment strategies. The general message is the following: if any kind of free lunch exists in these models it has to be of the most egregious type, generating an increasing ealth. Furthermore, we connect the previous to the existence of the numeraire portfolio, both for its particular expositional clarity in exponential Levy models and as a first step in obtaining analogues of the no-free-lunch equivalences in general semimartingale models.

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